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September 2014 Expanding the applicability of a Two Step Newton-type projection method for ill-posed problems
Ioannis K. Argyros, Santhosh George, Monnanda E. Shobha
Funct. Approx. Comment. Math. 51(1): 141-166 (September 2014). DOI: 10.7169/facm/2014.51.1.8

Abstract

There are many classes of ill-posed problems that cannot be solved with existing iterative methods, since the usual Lipschitz-type assumptions are not satisfied. In this study, we expand the applicability of a two step Newton-type projection method considered in [10,11], using weaker assumptions. Numerical examples for the method and examples where the old assumptions are not satisfied but the new assumptions are satisfied are provided at the end of this study.

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Ioannis K. Argyros. Santhosh George. Monnanda E. Shobha. "Expanding the applicability of a Two Step Newton-type projection method for ill-posed problems." Funct. Approx. Comment. Math. 51 (1) 141 - 166, September 2014. https://doi.org/10.7169/facm/2014.51.1.8

Information

Published: September 2014
First available in Project Euclid: 24 September 2014

zbMATH: 1307.47071
MathSciNet: MR3263074
Digital Object Identifier: 10.7169/facm/2014.51.1.8

Subjects:
Primary: 47H17, 47J06, 65J15
Secondary: 47A52, 65J20, 65N20

Rights: Copyright © 2014 Adam Mickiewicz University

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Vol.51 • No. 1 • September 2014
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